Solving Systems by Substitution

What is the first step in solving a system by Substitution?

• Make sure both equations are in standard form.
• Make sure at least one equation is solved for one variable.
• Make sure both equations are in slope-intercept form.
• Make sure both equations can be solved.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve this system of equations. 
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

y = 3x
2x + y = 20

• (4, 8)
• (3, 9)
• (2, 6)
• (4, 12)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

y = 2x + 1
3x + y = 16

• x = 3
• (2, 7)
• (3, 5)
• (3, 7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

y = 5x 
3x - y = 10

• (-5, -25)
• (2, 10)
• (-2, -1)
• (5, 25)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

• (0,3)
• (3,0)
• No solution(parallel lines)
• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

A system of two identical (overlapping) lines will have how many solutions?

• One Solution
• Two Solutions
• No Solution
• Infinite Solutions

Tags

CCSS.8.EE.C.8A

A system of two intersecting lines will have how many solutions?

• One Solution
• Two Solutions
• No Solution
• Infinite Solutions

Tags

CCSS.8.EE.C.8B

Identify the variable and the equation to isolate to solve the system of equations below.

Equation 1: -7x - 2y = -13

Equation 2: x - 2y = 11

• x in equation 1

• y in equation 1

• x in equation 2

• y in equation 2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which system of equations is the best for using the SUBSTITUTION Method to solve?

• 2x - 3y = -14

  -6x + 3y = 12

• 2y + x = 5

  3y + 2x = 12

• y = 11 + 4x

  3x + 2y = 0

• 2x - 3y = 9

  5x + 3y = 12

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6